K13n2118
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Polynomial invariants
| Jones polynomial | Data:K13n2118/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+7 t^2-12 t+17-12 t^{-1} +7 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2118/Conway Polynomial |
| Determinant | 65 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-a^2 z^6-z^6 a^{-2} +6 z^6-5 a^2 z^4-4 z^4 a^{-2} +12 z^4+a^4 z^2-8 a^2 z^2-5 z^2 a^{-2} +8 z^2+2 a^4-3 a^2- a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+3 a z^9+4 z^9 a^{-1} +z^9 a^{-3} +3 a^2 z^8-2 z^8 a^{-2} +z^8+a^3 z^7-10 a z^7-12 z^7 a^{-1} -z^7 a^{-3} -10 a^2 z^6+4 z^6 a^{-2} +4 z^6 a^{-4} -10 z^6+a^3 z^5+14 a z^5+12 z^5 a^{-1} +z^5 a^{-5} +3 a^4 z^4+18 a^2 z^4-5 z^4 a^{-2} -9 z^4 a^{-4} +19 z^4-5 a^3 z^3-a z^3+4 z^3 a^{-1} -2 z^3 a^{-3} -2 z^3 a^{-5} -7 a^4 z^2-14 a^2 z^2+z^2 a^{-2} +z^2 a^{-4} -7 z^2+a^3 z-3 a z-5 z a^{-1} -z a^{-3} +2 a^4+3 a^2+ a^{-2} + a^{-4} +2 }[/math] |
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